We classify all F2Mm1, m2, n1, n2-natural operators Atransforming projectable-projectable torsion-free classical linear connections ∇ on fibered-fibered manifolds Y of dimension (m1,m2, n1, n2) into rth order Lagrangians A(∇) on the fibered-fibered linear frame bundle Lfib-fib(Y) on Y. Moreover, we classify all F2Mm1, m2, n1, n2-natural operators B transforming projectable-projectable torsion-free classical linear connections ∇ on fiberedfibered manifolds Y of dimension (m1, m2, n1, n2) into Euler morphism B(∇) on Lfib-fib(Y. These classifications can be expanded on the kth order fibered-fibered frame bundle Lfib-fib,k(Y) instead of Lfib-fib(Y).
@article{bwmeta1.element.doi-10_2478_v10062-011-0002-9,
author = {Anna Bednarska},
title = {Lagrangians and Euler morphisms on fibered-fibered frame bundles from projectable-projectable classical linear connections},
journal = {Annales UMCS, Mathematica},
volume = {65},
year = {2011},
pages = {11-19},
zbl = {1245.58002},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.doi-10_2478_v10062-011-0002-9}
}
Anna Bednarska. Lagrangians and Euler morphisms on fibered-fibered frame bundles from projectable-projectable classical linear connections. Annales UMCS, Mathematica, Tome 65 (2011) pp. 11-19. http://gdmltest.u-ga.fr/item/bwmeta1.element.doi-10_2478_v10062-011-0002-9/
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